Abstract
In independent component analysis problems, when we use a one-unit objective function to iteratively estimate several independent components, the uncorrelatedness between the independent components prevents them from converging to the same optimum. A simple and popular way of achieving decorrelation between recovered independent components is a deflation scheme based on a Gram-Schmidt-like decorrelation
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References
Siu-Ming Cha and Lai-Wan Chan. Applying independent component analysis to factor model in finance. Intelligent Data Engineering and Automated Learning-IDEAL 2000, Springer, pages 538–544, 2000.
Lai-Wan Chan and Siu-Ming Cha. Selection of independent factor model in finance. In proceedings of 3rd International Conference on Independent Component Analysis and blind Signal Separation, San Diego, California, USA, December 2001.
P. Comon. Independent component analysis — a new concept? Signal Processing, 36:287–314, 1994.
N. Delfosse and P. Loubaton. Adaptive blind separation of independent sources: a deflation approach. Signal Processing, 45:59–83, 1995.
Aapo Hyvärinen. A family of fixed-point algorithms for independent component analysis. ICASSP, pages 3917–3920, 1997.
Aapo Hyvärinen. New approximations of differential entropy for independent component analysis and projection pursuit. In Advances in Neural Information Processing Systems 10, pages 273–279. MIT Press, 1998.
Aapo Hyvärinen. Fast and robust fixed-point algorithms for independent component analysis. IEEE Transactions on Neural Networks, 10(3):626–634, 1999.
Aapo Hyvärinen. Survey on independent component analysis. Neural Computing Surveys, 2:94–128, 1999.
Aapo Hyvärinen and Erkki Oja. A fast fixed-point algorithm for independent component analysis. Neural Computation, 9(7):1483–1492, 1997.
I. J. Jolliffe. Principal Component Analysis. Springer series in Statistics. Springer Verlag, 2nd edition, 2002.
J. Karhunen, E. Oja, L. Wang, R. Vigario, and J. Joutsensalo. A class of neural networks for independent component analysis. IEEE Trans. on Neural Networks, 8(3):486–504, 1997.
D. Luenberger. Optimization by Vector Space Methods. Wiley, 1969.
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Zhang, K., Chan, LW. (2003). Dimension Reduction Based on Orthogonality — A Decorrelation Method in ICA. In: Kaynak, O., Alpaydin, E., Oja, E., Xu, L. (eds) Artificial Neural Networks and Neural Information Processing — ICANN/ICONIP 2003. ICANN ICONIP 2003 2003. Lecture Notes in Computer Science, vol 2714. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-44989-2_17
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DOI: https://doi.org/10.1007/3-540-44989-2_17
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